Question

3. On a certain sum of money, the difference
between the compound interest for a year,
payable half yearly and the simple interest for a
year is 180. Find the sum lent out, if the rate of
interest in both the cases is 10% per annum.​

Answer 1

Answer:

N=1year

R=10 %

S.I.= PNR/100= (100P×1×10)/100

=0.1P

N=2

R= 2

10=5 %

AndAmount=P(1+ R/100) N

=P×(1+ 5/100)2

=1.1025P

C.I.=A−P=1.1025P−P=0.1025P

C.I.−S.I.=180

0.1025P−0.1P=180

0.0025P−180

P=Rs72,000